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Prove that the following number is irrational: (√3+√5)

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One of the most important and conceptual question from real numbers in which we have given a number (√3+√5) and it is already asked in various examinations and we have to show that  the given number is a irrational number

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 1D, question no 3(ix)


1 Answer

  1. Given, √3+√5.

    Here, √3 and  √5 are irrational number as they are not a perfect square and cannot be expressed as a fraction.

    Then, their sum is an irrational number.

    Therefore, the given number is irrational

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